TECHICAL Series MATHEMATICS • INFORMATICS • PHYSICS Series PHILOLOGY Series ECONOMIC SCIENCES Sereies EDUCATIONAL SCIENCES Series LAW AND SOCIAL SCIENCES Series
Regarding a Special Class of Shells
(Asupra unei clase speciale de învelişuri)
Vol LVIII • No. 2/2006
Virgiliu Talle, Şerban Vasilescu
Universitatea Petrol Gaze din Ploieşti, Bd. Bucureşti 39, Ploieşti
e-mail: vserban @mail.upg-ploiesti.ro

 Keywords   shell, meridional, circumferential.

 Abstract
The purpose of this paper is to determine a special class of shells (using the Laplace equation) in the hypothesis that a relation between the meridional (N) and circumferential (N) forces is accepted from the beginning. Such a condition is important in order to minimise the efforts in shells and to determine the optimum shape of the shell. The algorithm reaches a general differential equation that is integrated for some different tips of limit conditions and some special kind of shells are obtained. It is also provided an approximate method that reaches easier the form of the shell.

 Rezumat
În lucrare se prezintă câteva forme de învelişuri, care sunt determinate prin utilizarea unei ipoteze prin care, între eforturile (meridional si circumferenţial) din învelişuri există un anumit raport. Această ipoteză permite determinarea ecuaţiilor diferenţiale, care sunt integrate numeric pentru diverse condiţii la limită. Pentru câteva cazuri particulare sunt obţinute, prin utilizarea unor ipoteze simplificatoare, ecuaţiile învelişurilor, care permit atât o reprezentare reală cât şi o analiză în domeniul plastic.



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